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Finding the Fourth Proportional to 4,594.34, 6,891.73 and 1,307.66

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Solution

The fourth proportional to 4,594.34, 6,891.73 and 1,307.66 is: 1,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.34 : 6,891.73 = 1,307.66 : x
  2. Step 2: Convert to fraction form
    4,594.34/6,891.73 = 1,307.66/x
  3. Step 3: Cross multiply
    4,594.34x = 6,891.73 × 1,307.66
  4. Step 4: Simplify right side
    4,594.34x = 9,012,048.05
  5. Step 5: Solve for x
    x = 9,012,048.05/4,594.34
  6. Step 6: Final answer
    x = 1,961.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.